3117856 has 48 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 1290240.

The previous prime is 3117853. The next prime is 3117889. The reversal of 3117856 is 6587113.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (3117853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6720 + ... + 7168.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^3117856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3117856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

3117856 is an abundant number, since it is smaller than the sum of its proper divisors (4139744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3117856 is a wasteful number, since it uses less digits than its factorization.

3117856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 3117856 is about 1765.7451684770. The cubic root of 3117856 is about 146.0893929315.

3117856 divided by its sum of digits (31) gives a triangular number (100576 = T₄₄₈).

It can be divided in two parts, 31 and 17856, that multiplied together give a square (553536 = 744²).

The spelling of 3117856 in words is "three million, one hundred seventeen thousand, eight hundred fifty-six".